46845120 has 112 divisors (see below), whose sum is σ = 170005248. Its totient is φ = 10705920.

The previous prime is 46845119. The next prime is 46845143. The reversal of 46845120 is 2154864.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3235 + ... + 10205.

It is an arithmetic number, because the mean of its divisors is an integer number (1517904).

Almost surely, 2^46845120 is an apocalyptic number.

46845120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85002624).

46845120 is an abundant number, since it is smaller than the sum of its proper divisors (123160128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46845120 is a wasteful number, since it uses less digits than its factorization.

46845120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6998 (or 6988 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 46845120 is about 6844.3494942909. The cubic root of 46845120 is about 360.4857639953.

Adding to 46845120 its reverse (2154864), we get a palindrome (48999984).

The spelling of 46845120 in words is "forty-six million, eight hundred forty-five thousand, one hundred twenty".